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• W3021453046 abstract "We derive a coarse-grained equation of motion of a number density by applying the projection operator method to a nonrelativistic model. The derived equation is an integrodifferential equation and contains the memory effect. The equation is consistent with causality and the sum rule associated with the number conservation in the low momentum limit, in contrast to usual acausal diffusion equations given by using the Fick's law. After employing the Markov approximation, we find that the equation has the similar form to the causal diffusion equation. Our result suggests that current-current correlations are not necessarily adequate as the definition of diffusion constants." @default.
• W3021453046 created "2020-05-13" @default.
• W3021453046 creator A5044496285 @default.
• W3021453046 date "2005-08-29" @default.
• W3021453046 modified "2023-09-25" @default.
• W3021453046 title "Microscopic derivation of causal diffusion equation using the projection operator method" @default.
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• W3021453046 doi "https://doi.org/10.1103/physreve.72.026135" @default.
• W3021453046 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/16196672" @default.
• W3021453046 hasPublicationYear "2005" @default.
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